Finding the Third Proportional to 305,723,766,725 and 455,934,448,637.50
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Solution
The third proportional to 305,723,766,725 and 455,934,448,637.50 is: 679,947,861,696.23
Step by Step Solution
- Step 1: Write the proportion equation
305,723,766,725 : 455,934,448,637.50 = 455,934,448,637.50 : x - Step 2: Convert to fraction form
305,723,766,725/455,934,448,637.50 = 455,934,448,637.50/x - Step 3: Cross multiply
305,723,766,725x = 455,934,448,637.50 × 455,934,448,637.50 - Step 4: Simplify right side
305,723,766,725x = 207,876,221,454,381,117,079,552 - Step 5: Solve for x
x = 207,876,221,454,381,117,079,552/305,723,766,725 - Step 6: Final answer
x = 679,947,861,696.23
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.